Hectoliters 7174

Calculate how many hectoliters of water are in a fire tank with dimensions of 7 m and 6.5 m if it is 2 m deep and the water reaches 50 cm below the edge.

Correct answer:

V =  682.5 hl

Step-by-step explanation:

$$\begin{gathered} a=7\text{m} \\ b=6.5\text{m} \\ {c}_1=50\text{cm}\to \text{m}=50:100\text{m}=0.5\text{m} \\ {c}_2=2\text{m} \\ c=c_2-c_1=2-0.5=\frac{3}{2}=1.5\text{m} \\ {V}_1=a\cdot b\cdot c=7\cdot 6.5\cdot 1.5=\frac{273}{4}=68.25{\text{m}}^3 \\ V=V_1\to \text{hl}=V_1\cdot 10\text{hl}=68.25\cdot 10\text{hl}=682.5\text{hl}=682.5\text{hl} \end{gathered}$$

Try another example